Solution
Solution
+1
Radians
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Expand
Apply the distributive law:
Apply minus-plus rules
Simplify
Multiply the numbers:
Multiply the numbers:
Simplify
Group like terms
Add/Subtract the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Multiply the numbers:
Subtract the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
Apply trig inverse properties
General solutions for
Solutions for the range
No Solution
Combine all the solutions
Show solutions in decimal form
Popular Examples
3cos^2(x)=7-8sin(x)sin(X)=-1/2-2(sin(2t)-cos(t))=05cos(A)+8=3cos(A)+62+7cos(θ)=4sin^2(θ),-180<= x<= 180
Frequently Asked Questions (FAQ)
What is the general solution for -4cos(2θ)-19=-26cos(θ),0<= θ<360 ?
The general solution for -4cos(2θ)-19=-26cos(θ),0<= θ<360 is θ=0.72273…,θ=360-0.72273…